333342338224896 has 4608 divisors, whose sum is σ = 1450065847910400. Its totient is φ = 72666906624000.

The previous prime is 333342338224879. The next prime is 333342338224919. The reversal of 333342338224896 is 698422833243333.

333342338224896 is a `hidden beast` number, since 3 + 3 + 3 + 3 + 4 + 2 + 3 + 382 + 248 + 9 + 6 = 666.

It is a super-2 number, since 2×333342338224896² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 639812549116 + ... + 639812549636.

It is an arithmetic number, because the mean of its divisors is an integer number (314684428800).

Almost surely, 2^{333342338224896} is an apocalyptic number.

333342338224896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333342338224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725032923955200).

333342338224896 is an abundant number, since it is smaller than the sum of its proper divisors (1116723509685504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

333342338224896 is a wasteful number, since it uses less digits than its factorization.

333342338224896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 764 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 63.

The spelling of 333342338224896 in words is "three hundred thirty-three trillion, three hundred forty-two billion, three hundred thirty-eight million, two hundred twenty-four thousand, eight hundred ninety-six".